796414080 has 256 divisors, whose sum is σ = 3165557760. Its totient is φ = 165457920.

The previous prime is 796414063. The next prime is 796414121. The reversal of 796414080 is 80414697.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145147 + ... + 150533.

It is an arithmetic number, because the mean of its divisors is an integer number (12365460).

Almost surely, 2^796414080 is an apocalyptic number.

796414080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582778880).

796414080 is an abundant number, since it is smaller than the sum of its proper divisors (2369143680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

796414080 is a wasteful number, since it uses less digits than its factorization.

796414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 796414080 is about 28220.8093434614. The cubic root of 796414080 is about 926.9286586186.

The spelling of 796414080 in words is "seven hundred ninety-six million, four hundred fourteen thousand, eighty".